As it is now, I feed about 2 1/2" of bar out the collet, machine the OD to size, then make/part off 5 buttons (or 10 or so washers) before advancing the bar again. I have a QC tool holder and try to get all tools to zero at the same crossfeed setting. So, it does take me a few minutes to turn the first part in a series, but tthen may be a minute or less to part them off. Most time is spent changing bits and counterbore in the Jacobs chuck when making the washers....
I also make parts out of brass barstock that require drilling and tapping, but nowhere the same volume as these 2 aluminum parts.
High-lit in bold my impressions to increase productivity. Turning long sections and parting those is hard to increase, purely that less time spent on non-chip efforts. The bit changes are worse yet because there is no chip effort at all.
An economical test is purchase of a tail stock turret. Recognize you'll need tool bushings, easy engine lathe work. Once tooled, they are surprisingly efficient for manual processes. Even adding a little turret lathe later on, where engine lathe returns to 'normal' fashion, set it up with center and stub drills, taps etc.
Bet is, most people here agree with 2 precepts 1] specialized tooling is what makes machines hum on your parts, 2] tooling in general, gains usefulness with familiarity of use, compared to speculation.
There are tailstock turrets floating around. I'll bet ENCO tagged units outnumber all others combined. No matter reputation of ENCO overall,
some products they imported remain totally acceptable. Keeping my #1 and #2 certainly.
A third turret, complete anomaly is a #4, so heavy it's outrageous. Unmarked and different mechanism, unsure manufacturer or country of origin. Got it for 16" Pacemaker, decades ago. A gamble, it just seemed 'cool'. Not used often
but, loaded as described above, tailstock crank and quill for feeding, made short work out of prior non chip time spent.
That cemented my appreciation of tailstock turrets.
I'd guess your parts will do the same. A simple time study is worthwhile.