If you are using Bitcoin, you can still get slightly lower fees on the weekend, but like I mentioned earlier, Ordinals have pretty much made the cheapest of BTC transactions impossible nowadays. Right now, we have close to 50k of unconfirmed transactions. It wasn't uncommon that this number was down to 1-3k a few months ago, but not anymore. But if you are using alternative chains that have cheaper fees and quicker block times anyways, I wouldn't concern myself about the time you make your transaction.
There are still over 41K Unconfirmed transactions while I am writing this post. The recommended fee is 4 satoshi per byte which is not too much in my opinion. I don't know if you consider Bitcoin as real Bitcoin on other chains except for lightning. Some people even think the lightning network Bitcoin is not real. We can indeed do transactions cheaper on different chains, but I don't believe all platforms support alternative chains. But I wouldn't say I like how people made alternative chains for Bitcoin that are not real.