Yet it works....please do what you think is the right thing to do. I'll do the same.
All of those options work but which is producing the ever subjective best beer? If it makes beer you like go for it.
I frequently will step up a yeast cake from 2.5 gallon direct pitch batch to a five gallon batch to a ten gallon batch. From there I rack on brew day and take a 175 ml ladle per 5 gallons. Sounds somewhat similar to what you do, but I get a batch of beer to drink on the first go.
These are lagers and they finish under 7 days from brew date. I also have used an SNS lager yeast starter at fridge temp at high krausen.
We all do what works and there are many ways to do this. In the end it is about making beer that you like. Lastly, I have a friend who won many medals and BOS for his Bock, which he always started warm for a few hours and then stepped down into lager temps. He is now a professional brewer who makes mostly traditional lager styles. They are quite good. Cheers all.