Absolutely, there doesn't have to be malice involved. In fact, most of the copiers I have known have done it because they admired something about the person they were copying.
It's just that it can be exhausting. I have a dear friend who just has to take up whatever interest I am currently participating in, has dyed her hair like mine (in fact she specifically asked me to help because I do my own bright colours), and has started dressing like me and doing her nails like mine in the last year. She used to pooh pooh having an interest in makeup and clothes as too "girly" when I first met her. I'm not girly by any means, but I feel better if my nails and hair look good, and I have a particular style aesthetic that suits my personality.
I don't think any less of her, but it does give me a twinge of annoyance when I see the latest thing. Even my hubs, people at our sports club, and friends of mine who don't know her have commented on it. I have to keep her at arm's length when I'm low in energy, which of course makes her escalate. She's a kind, caring, and lovely person who means well, but has very little self-esteem and awareness of how she comes over. I'm not perfect by any means, so I put up with it, with a little grumbling to my hubs.