If you allow me, I will throw in my two cents
First and foremost, the rotational speed of the lathe spindle for such a drilling diameter is too high, I would set a safer ~300-400/min (for regular HSS; HSS-Co5 or better HSS-Co8 is a different matter).
In my old bench drill, I have the rotational speed set to approx. 400/min and in practice I only use them (this model does not have lower ones) - and I use them even for a 1mm diameter drill bit because I do not feel like changing the transmission belts
But even in steel, this 1mm "goes" relatively well at a low 400/min.
The second thing, equally important - is lubrication/cooling. From my experience, it looks like this: high cutting speed - COOLING+lubrication; low cutting speed - LUBRICATION+cooling.
Of course, capital letters mean what is more important in the given conditions.
As for lubricants... mineral waste oils/lubricants are the last resort, in truth, they are not suitable. But cheap vegetable oils are good enough, and the best - in my opinion - is linseed oil. Not so much linseed varnish, because it contains siccatives and dries quickly (a few days), but pure linseed oil (for frying); it also dries, but it takes months.
I mention this because you have to clean the tools - otherwise, they will soon "cover" with a skin of dried linseed oil.
However, the absolute best are advanced modified oils, specially designed for such purposes (threading, drilling, etc.)
For example - like ROCOL RTD oil, mentioned here by Mauzinette; I don't know it, but I'm sure that in Poland I use a very similar product: it's TEREBOR (by French Molydal or Polish FANAR), a nice blue "oil for
difficult drilling, tapping and machining" (from manufacturer's description).
I've been using it for years - and I don't know a better product for that: threading with a fine-pitch M16x1 tap in stainless steel or acid-resistant steel using linseed oil - that's ~3 holes and the tap is already protesting.
Using TEREBOR I will thread 20 such holes... and then thread another next 20 - and tap, although slightly blunt - can still be used. For me - pure revelation.
Of course, I also use TEREBOR for drilling and sometimes for turning; if TEREBOR is not available in the US, look for and buy e.g. ROCOL RTD, it is probably an equivalent - or another similar special cutting oil, they will advise you in the specialist shop.
The third thing, which probably does not need to be mentioned: is a well-sharpened drill!
I sharpen my blunt drills myself, "by hand" - they drill very well; I have several decades of practice - but I will add here one more important thing: if you drill WITHOUT A PILOT HOLE, it is absolutely worth using drills with the so-called split point correction (in the photo: "ścin", in Polish). This reduces the necessary feed force by up even to 60% and also causes significantly less force causing deflection of the drill from the hole axis. Drill bit blade split point correction is especially important for large-diameter drills, but small ones are very "like it" too. The hobby driller likes it even more, l assure you
I perform the mentioned blade correction of drill bits on a bench grinder (large drill bits) or (small drill bits) by the irreplaceable DREMEL, i.e. my favorite jack-of-all-trades tool
I'm pasting images, because a picture is worth a thousand words:
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