When past states contain useful information, does A3C perform better than TD3, given that TD3 does not use an LSTM?

Question

I am trying to build an AI that needs to have some information about the past states as well. Therefore, LSTMs are suitable for this.

Now, I want to know that for a problem/game like Breakout, where we require previous states as well, does A3C perform better than TD3, given that TD3 does not have LSTM?

Or without the LSTM TD3 should perform better than A3C despite the fact that A3C has LSTM in it.