Once an author completes a patch, the next stage is to ask for a review. This is not considered an interruption or an annoyance, but a part of the role of being a software engineer on our team (on both sides of the equation.) If the fix is a small fix, then this exchange and an ACK from the reviewer can take less than 5 minutes via slack and a github PR. Modulo things which are extremely urgent, it's normal for an author to bake in an expected ~24 hours turnaround on small/moderately sized patches out of a courtesy for the reviewer. In general, we consider making changes to the application to be a team effort, and as such, having a "buddy" on every change you make isn't an interruption or an annoyance, it is an important part of being a member of the team and working together.
Working within this approach, it's important to break work into digestible PRs (to make it easier to review quickly) and to pipeline other tasks. If code review acts as a lock on your entire body of work, and you literally have nothing to do while a single patch is in-flight, it probably means something else needs to be addressed, not the code review process. At the very least, while your code is being reviewed, most likely there are other bits of other team members' code for you to review anyway :)
For example, if you need to push code to have enough confidence in it to surface it for review, that is a problem to fix. If you have no other tasks to work on while your code is being reviewed by a peer, that is a problem to be fixed. If your teammates consider it an interruption and an annoyance when you ask for peer review, or you are annoyed by having to wait for them to give you honest and thoughtful feedback, that is a problem to be fixed.
I can empathize with the idea that having to pipeline and multitask your work may not be something you are used to, but if you accept the premise that code review is a necessary step in the software development process, this is the norm not the exception. Also code review is just one of many reasons why in practice it's pretty much certain, in my experience, that pipelining work will result in more throughput as a software engineer. (Other examples include similar things which require time to 'bake', like running A/B tests, rolling out software upgrades, and so on. If I had to stop working on everything until a single A/B test converged, I'd have most of the week off :)) Also, pipelining work does not necessarily mean you are rapidly jumping from task to task, which is damaging to creative work, but it means you expend concerted effort in chunks of a few hours at a time and keep moving concrete pieces of work through the pipeline.
Ok, so here's the trade-off. You can do all these things, if you're willing to pipeline your tasks, and pay the context switching costs. It's much simpler to not pipeline when possible, and not context switch.
I do have plenty of things to do, I just prefer to finish one, when possible, before I start another. I don't like keeping track of several different pending patches, and I really don't like having to do the tedious merging that happens when multiple things are in flight around the same places at the same time.
By all means, run your team with 100% reviews; but please accept that not reviewing everything is a valid option for other teams. Just like some people will run screaming from an interview when they hear there are no code reviews, some will run screaming when they hear everything is reviewed.
Without code review, my flow is: a) do the work b) test it locally until i'm happy with it c) check it in d) changelog the change e) push the change f) check logs g) if it works, great; if it doesn't work, consider rolling back, or rolling forward -- either way, go back to a for the code changes to fix the fix
With code review, it becomes: a) do the work b) test it locally until i'm happy with it c) push it to the code review tool d) wait a while to see if anybody sees it e) ping somebody, because everyone else is doing work, or eating lunch or whatever f) wait for them to actually review it g) if they approved it great; if i have to address things, that's great too, but I have to go back to step a h) check it in i) changelog the change j) push the change k) check logs l) if it works, great; if it doesn't work, consider rolling back, or rolling forward
I hate waiting around, and I hate interrupting people, and I hate switching tasks. I want to do my work, and get it pushed out there. Mandatory review for every change means I have to wait around or interrupt people. While I'm waiting, I need to be doing something else productive, but I also need to be watching for a notification that my code was reviewed so I can go push it and see if it works (or address any comments), and switch tasks again. Meanwhile, I have to be prepared to be interrupted to review other people's changes, or I'm blocking them from getting their work finished.
In a world where pushing takes a long time, reviewing everything is more acceptable. When you're pushing to an app store, it's not really possible to have multiple releases in a single day or fast feedback loops, so it makes sense to get more eyes on every change.