@Myn not at all. If it's a supermarket, and I'm in the car, I'll pick up a box on the way round and use that instead. If I need a bag, I'll buy one, but I'll try not to, not because of the cost, but because I think we should be reusing bags where possible.
If you reuse a bag once, that halves the bags you use. If you reuse it 9 times, it cuts the number of bags in circulation by 90%, ie a huge amount.
I can't remember if they charge for clothes bags, but somewhere along the way it made me change my behaviour because, while I was smugly reusing my bags for life for grocery shopping, and judging those who CBA and got a load of new bags each time, I was letting the shops give/sell me new bags when clothes shopping and while I realised that I reused as many as possible as bin bags, or if I sold something on ebay, I was still taking bags unnecessarily, especially as the bags many clothes shops use are too nice to throw away, but not particularly useful to reuse.
So I now carry folding cloth bags that are used for clothes shopping, not that I buy that many clothes before the 'you should buy it all second hand on Vinted' brigade wade in. Everything I buy is worn for years until it wears out, I probably buy about 10 items a year if that, and I don't have the time or energy for trawling charity shops or Vinted in the vain hope that they'll have what I need in the right size that actually fits when it arrives. Not sorry.