I get exactly the same problem with that style. It's actually a lot more weird than that. If the drummer is playing 3/4 time then it's a really strange one where the downbeat sometimes lands on the first beat of the bar and the upbeat sometimes lands on the first beat of the bar. In actual fact, it plays in 4/4 most of the time but occasionally throws in a 3 beat bar and then starts again. For me, it does this...
|123|412|341|234|123|*123|412|341|234|123|412|341|etc (continues now in 4/4 without any self-correction until it goes to the next verse and then the pattern is the same again).
This is just using a blank song sheet (C chord in bar 1) of default 32 bars.