An oil cooler does not cool roller bearings, its not the oil that gets too hot its the bearing and you need oil flow to extract the heat from the bearing and to move it elsewhere. Stick to giving tips on the wrong frame geometry which are dangerous.
On the flow rates required Phil Irving has a table of oil flow rates in 'Motorcycle Engineering' which is a good reference point.
From Phil Irving's, Motorcycle Engineering: pg. 232-234
"So one can see that there are several possible sources of friction, and therefore some degree of lubrication is essential. Up to a certain point, this need not be very great. T.T.'s have been won with engines lubricated only by an occasional shots of oil from a hand-pump simply squirting oil into the crankcase and thence into the big-end (somewhat problematically) through a couple of holes, while even today the Speedway J.A.P., normally running much above 6,000 r/p.m., performs very well with a flow to the big end which is only a fraction of that normally provided on a road-racing machine. In the latter of course the copious flow provided assists greatly in internal cooling which is not of much importance on the speedway motor run exclusively on alcohol and only for short distances.
It is a well-established fact that if any caged ball or roller bearing fitted to a high-speed spindle is run full of oil, it will become very hot through the churning action set up in the lubricant. This has lead to the development of other systems, such as that in which a jet of compressed air is used to blow oil in the form of a mist into the bearing, so lubricating it and cooling it at the same time; there is little more than a film of oil present on any of the surfaces, and so no extraneous heating from churning.
On the other hand, if enough oil is poured through by a circulating system, heat is carried away with the stream and can be dissipated else-where, this being the normal state of affairs with an ordinary dry-sump engine. If the oil-supply is accidentally cut-off, the bearing is momentarily still full of oil, which rapidly heats up due to frictional heat plus churning heat. At around 300 degrees C. (depending on its composition) the oil will start to vaporize off, and at 450 degrees the rollers will commence to bond themselves to the aluminum cage, after which complete seizure follows immediately.
The inference is that there is a "pessimum" (opposite of "optimum") quantity of oil which is particularly conducive to seizure, and either more or less is required to permit continuous operation. This is only a theory, but it may help to explain the satisfactory life of the two-stroke bearing with very much less lubrication than the four-stroke."