Playuer A cannot raise again if Player C doesn’t raise.
If Player C wishes to raise, that is USUALLY disallowed. Different rooms vary on this, however; I have played in a few places that allowed raises above the short raise. Some will only allow it if the short raise is at least 50% of a normal legal raise. It’s honestly the one rule that drives me batty.
I suspect you have come across dealers/cardrooms misinterpreting the rule and therefore enforcing it incorrectly. The first link I posted above goes into the confusion between ‘the 50% rule’ and this situation.
I agree. There is strategy to it as well. If you have a hand you want protected, in that case it may be smart not to short raise in the hope that someone behind you will raise the full amount and chase people away. But if you have hand that wants action (say, a big flush draw, or a big made hand), a short raise will freeze raises on that round and encourage others to call for just a guaranteed $200 risk, whereas otherwise they might call and then get a big raise behind them.
I knew lots of guys who intentionally bought in for the smallest possible amount so they could play games like this. Of course, that means they may not have enough chips to fully profit from big hands, so I think it’s a losing play. But it causes the game to slow down because there are always side pots to manage. It’s annoying.
The fact that you can game your chip situation like that makes the short raise rule questionable.
It’s a losing play for you, because you are a skilled and experienced player. It is very advisable for newbies. I’m sure you’ve read Miller. Starting with a min stack and playing two rounds of betting is a good way for the inexperienced player to even the odds.