The level of bias isn’t even solely dependent on the gene in question but on much more complex mechanisms that are frankly not well understood for example in humans testicles and mammary glands have some of the highest levels of sex biased expression in of all tissues. Other tissues like brain, heart and muscles also have variance but to overall lower levels (higher brain tissue expression variance in males for example has been linked to higher likelihood of schizophrenia and other mental conditions).

Overall males it seems that there is a higher variances of sex biased gene expression in various tissues compared to females.

This means that it goes beyond we have a backup X chromosome and gene deactivation escape mechanisms.

Gene expression variance can explain why males might a higher overall variance in traits.

In fact in males there is a phenomenon that is called feminization of gene expression where by removing sexual competition causes gene feminization in males causing the population to more favorably express female bias.

https://www.nature.com/articles/ncomms4482

I can’t find the study now but similar results have been reported in humans especially in sperm and testicular tissue that begin experiencing gene expression feminization rather quickly in monogamous relationships.

Coincidentally when searching to make sure I wasn't saying this the wrong way around, I was presented with this weird sexist propaganda[0] that only works because of the weird way people tend to think about these facts: you only acknowledge it if you can make it sound like women are better at everything and make no tradeoffs.

[0]: https://www.theguardian.com/books/2020/apr/19/the-better-hal...

https://arxiv.org/abs/1703.04184