Usually the account will be locked if we log in using a different IP and PC/Browser, but I don't know whether Bitsler implements security like this.
No, bitsler not blocking account like that. Gambling isn't allowed in my jurisdiction where I live currently. Even gambling site not allowed from my home country as well. So in a result I can't access from both countries to Bitsler account and by force I have to use VPN for login Bitsler account. So when I need to login I just use VPN on my phone and it's free VPN. Still now I didn't face any problems nor locked my account.
I don't think any website should locked account instantly just because of change devices or IP. They might ask for verification like mail. And its quite reasonable to confirm security of your account. But we should remember, trying abuse the system would cause suspended your account.
Usually, it is people who use two different accounts on same IP that gets trouble in most places, not people who use one account on two different IP's.
Because, at the end of the day you can have your own account and then gamble wherever you want, it could be your home or it could be on top of a mountain (how did you get internet up there mate?) and it will be up to you, wherever you want it is your own account and as long as you don't share the IP with anyone else then you should be fine.
Come to think of it, I have no idea about the two account or multiple account ban on bitsler neither, no idea if they allow it or ban it but if they allow it then even that's fine. So, at the end of the day different IP for the same account has never been really an issue anywhere.