Should lifting do any more than just maintain muscle mass? Just wondered what people thought

I'm confused about your question. What are you expecting lifting to do? It'll build and/or maintain muscle mass. This is the same whether you're cutting or bulking. When bulking, you're more likely to build. When cutting, you're more likely to just maintain. But you could still build some muscle when cutting.

You are more prone to overtraining when cutting, though, so that's something to watch out for.

I get what you mean. You want to know if you should expect an increase in muscle mass/strength when cutting as compared to when bulking. On a basic level, one could say no, you wont gain much strength or size while cutting since you are in a calorie deficit. At most you are keeping what you have as you cut the fat, the "use it or lose it" principle. However, thats looking at it in a basic sense. There are people out there who have successfully gained strength and muscle while cutting, so it is possible.

Should lifting do any more than just maintain muscle mass? Just wondered what people thought

Sure. In addition to the muscle mass preservation/increase benefit, it burns calories from the activity alone and can be an intense cardiovascular workout.

You're also telling your body to release growth hormone which has been shown to have a significant impact on the breakdown of fat (lipolysis).

Then there's the continued stimulation of your central nervous system to perform lifts more efficiently, which can increase your apparent strength without actually adding muscle mass -- and will help you get bigger if you switch back to a caloric surplus.

Lots of reasons. I'm sure to be missing some.

I think I know what you're asking and this has been addressed before.

You're lifting should be the same whether its a cut or a bulk. You establish a set/rep scheme and lift as hard and as heavy as you can. The difference is that in a cut, you are taking in less calories and should expect that you may not progress in weights, reps, etc. as much as before. In a bulk, you are taking in more calories and should expect to see increases in muscle mass and greater progress in how much you can lift etc.

But as far as the lifting goes: as hard and as heavy as you can for your set/rep scheme, no matter what your caloric intake is.