I'm going to let you in on a little secret: you get weaker as you lift in the gym. If you do a hard set to failure with some weight, you won't be able to do it again without some significant rest.
Sounds like you're doing rest pause (intra set resting?), without realizing it. It's a legitimate method for getting more hard work in.
Are you improving over time? If you can do 115x7 with "2 little 30 sec breaks" one week, then the next you do 115x8 with "2 little 30 sec breaks", isn't that an improvement?
The only danger with this is if you start letting those "2 little 30 sec breaks" turn into "2 little 60 sec breaks", then even though you went from e.g. 115x7 to 115x8, it was because you rested longer, not because you're stronger.
If you can avoid that con, and taking those "little 30 sec breaks" is allowing you to continually move up in weight, then keep doing it, IMHO. But keep in mind that keeping those small rest times in check week to week will not be easy.