Does this "oklink" thing remind anyone else of the spam campaign that Bitget used to have? Newbie who persistently mentions it, the whole discussion is based on some kind of their assessment, as if it is a popular service, but in fact, few people know about it.
Or am I just too skeptical?

No one here can help you much because it all depends on Bitget. Ideally, you would explain to them the origin of the funds and hope that it will be enough for them.
The problem that is happening to you forced eXch to shut down their business, and cunts like Bitget survive

btw. what is onlink and why is that important?

@qidafei
eXch has been unfairly targeted and treated ever since the Bybit hack happened. Bybit and the people on their payroll are trying to divert attention from the lack of security of their exchange and have people look at eXch and paint them as criminals and money launderers. However, Bybit is the responsible party.

If Bitget froze your funds, they will surely contact you and ask for certain information. I assume you already passed KYC with them, so you might be asked for the source of funds, how you acquired them and things like that. You didn't do anything wrong, eXch didn't do anything wrong, Bybit did many things wrong. And now, we are all paying the price for it. If Bitget hasn't contacted you yet, get in touch with their support and ask them what to do. 

Apart from this very valid reason for not using bitget, I really cannot see any proper reason for using that exchange.
It is a second tier exchange like many others. It’s not regulated (pro and cons) and amongst the not regulated it doesn’t offer the features that other more evoluted exchange offer.
So, weird choice.

Perhaps at the time when he wanted to exchange his bitcoin, eXch didn't have any USDT in their reserves or not the amount he wanted. It has happened to me in the past. Alternatively, he could have swapped his bitcoin for DAI or USDC. If stablecoins weren't available at the time, he got the next-best thing, ether. With ether, he can buy the stablecoin he wants at Uniswap, which doesn't support bitcoin, only bitcoin-wrapped tokens.   

We have answered to all the support tickets. Our ETH node issue is now resolved, and the transactions still pending will be processed as soon as possible. We apologize for any inconvenience caused.

So how should I solve the problem? I used uniswap to exchange eth for usdt and then entered my bitget wallet Will the exchange freeze my funds permanently?

This is not correct.

Funds are not "naturally considered stolen".
I have sent funds from eXch straight to binance without any problems just about 2 weeks ago.

Those are not necessary the same coins from bybit. EXch created new addresses, received and send coins, there is a lot of volume in eXch.

We have answered to all the support tickets. Our ETH node issue is now resolved, and the transactions still pending will be processed as soon as possible. We apologize for any inconvenience caused.

I exchanged ETH for Bitcoin. The first time I exchanged, I received Bitcoin within 30 minutes. But the second time I exchanged, it has been an hour and I still haven’t received Bitcoin. What happened?