But since limited liability is a pretty good thing to have and is affordable now, these days many people opt for it, especially if you're somewhat successful because one of the disadvantages is increased accounting duties -- but if you make more than 50k (or something thereabout; in profits) without a limited liability, they'll apply the same duties to you.
Corporate tax + dividends is usually more expensive than personal income. On 100k profits, you'll pay 30k taxes, and then you'll distribute 70k of which 25% are tax (capital gains), so another 17.5k gone, and you've paid 47% until the money is yours. Top marginal income tax is 45% (250k+/yr). Accountants are technically optional, but practically mandatory for LLCs, and they cost 2-3% of revenue (by law, no negotiations possible).
Germany very much doesn't like self-employment when you look at it from that angle. But I doubt there's an intention behind it, it's mostly historical: limited liability is supposed to be the larger companies, not an electrician with two employees. But Germany doesn't adjust, so our 2nd highest marginal tax rate (42%) starts at 66k€, which around 10% of employees in Germany hit, and it rarely gets adjusted to account for inflation. But no worries: there's been a lot of noise to increase this to 57%, payable on income > 80k€. We'll get to the 70% eventually.
Okay, that's _really_ different to how it works in Ireland, and I think just shows the government trying to incentivise slightly different things. I think the key difference is that, per the above, dividends are taxed as capital gains in Germany (weird; they're clearly not capital gains); in Ireland they're deemed unearned income and taxed more or less as normal income (with some slightly weird treatment at the edges, I think; I'm not sure that you can offset income tax on them with pension contributions, say).
I'm a bit curious _why_ Germany wants to incentivise retention and payout via dividend vs payout via salary for small companies (it seems like, for high income people, corporate tax + dividend there would probably be lower than the highest band of tax?) but that's clearly what's going on here.