I did drill a hole for a center, but changed my mind and did w/o it. And the cut seems consistent along the length, But, I wouldn't go any longer w/o support and I wouldn't have done it this time if I'd noticed the lack of support impacting the amount of cut. I could be dead wrong too!If you cut that long thread, you do need to support the part using the tail stock. If you don't, you will need to cut deeper and the nut will have more play towards the chuck.
The cutting depth depends on the tool. There is a lot of difference if you have a sharp ground HSS tool, a ground HSS tool with a tool nose radius, a half profile insert or a full profile insert.
If the half profile insert has a minimum pitch that is larger than the required pitch, you also need to cut deeper. If the half profile insert has a maximum pitch that is smaller than your pitch, you have to cut a lot deeper.
If the full profile pitch is less than you pitch you have to cut a lot deeper.
If you use a ground tool without a tool nose radius, you have to cut deeper but that is something you can calculate.
If you use a ground tool with a tool nose radius, you can only guess how deep to cut.
Check the thread depth using the 3 wire method. Any 3 wires will do if they have the same diameter and aren't to thin or to thick. The shaft of a drill will do well. Glue them on the thread using some thick grease and measure the diameter using a micrometer. There are web sites where you can find the requested diameter like this one. More info about 3 wire thread measuring.
If you can read the thread charts, know the tool nose radius of the threading tool and are comfortable using CAD, you can draw the thread and the tool in CAD to find out how deep to cut the thread.
Last year I start skipping the cleanup (spring) passes that you really need to do and cut the threads 0.02 mm deeper (adjusted the tool length). Now the threads fit without cleanup (spring) passes. So I do not have to worry about work hardening any more.
I'm using a 11ER insert 60 degree thread cutter in a SER holder. There's a visible radius. It's a "partial profile" type.:
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