...but this is more or less how I do it. I don't worry too much about the bridges, but I don't usually make adjustments that go to 10 either.
I guess I can see some valid reasons for going to 126, if for no other reason than the freewheels are easier to find. But unless I had some set of 130mm hubbed wheels lying around, and I was desperate to use them, the switch from 5 cogs in the back to ten has little to offer in the way of improved gear range and some definite disadvantages if your ten speed chain has some trouble on your old chainwheels, because they're cut a little wider at the tooth, and are spaced far enough apart for that chain to drop down in between them some time when it is inconvenient.
And I find it problematic friction shifting a ten cog rear, quickly and by feel. I'm sure there are people who do it, just not me.