Is it possible to trade in UK's investment ISA after moving abroad?

After doing some more digging I figured there are two parts of this problem:

1. Being able to use the UK investment ISA after moving abroad.
2. Taxing the profits from investments.

Re. 1: It was very confusing to get the straight answers to this question, because I contacted several UK financial institutions who provide investment ISAs by phone and email. In most of the cases I got a negative answer when I called the helpline and a positive one via email. In other words I spoke to agents on the phone and they said that it is not possible to add funds to or buy new stocks in ISA after moving abroad, but when I got replies to the emails (after long 48 hours - because they 'aim to respond within 2 working days', so they can take their time to do so), they said that it is possible to buy and sell stocks in ISA after moving abroad. Each time I asked for the confirmation and I got one. Still there were some providers who said they would not allow new buy transactions or close the account altogether, so it is up to the providing institution whether to allow non-resident clients or not.

Re. 2: The tax-free status of the profits made in ISA is only guaranteed in UK, but the profits may be the subject to Capital Gains Tax in the new country of residence (as it was pointed out in the comments by @Mike Scott). I said 'may be', because there is a lot of factors to consider which depend on the tax laws and the particular situation of the individual. In my case it seems like I will not have to tax my ISA profits in the country I'm moving to in the current financial year if I spend most of the time abroad (that is more than 183 days of the financial year) which means that if I move in the second half of the financial year I should be able to make tax free investments in my UK ISA until the end of this financial year.