If you look at a LED "bulb" the lumen per watts vary around 75 to 85 for domestic use, look at DC versions for boats and caravans and they have around 100 lumen per watt and also a massive voltage range, typical 10 - 30 volt, to get that range clearly it has to use some form of switch mode power supply.
With the fluorescent tube replacement you can if you wish leave the magnetic ballast in place, or feed the tube directly with 230 volt, the ballast for a 58 watt tube will reduce the voltage across the tube to around 100 volt once fired up, the LED tube is often a reduced wattage so will not need to run on 100 volt but it will be running at somewhere around 150 volt so again these tubes although they do not state it must be able to run with a massive voltage range, again pointing to the use of a switch mode power supply, also the lumen per watt is again around 100 so both things combined it seems unlikely it could be anything other than a switched mode power supply.
We are likely still looking at a pulsed supply to the LED's so it could still produce a strobe effect, however likely in the kHz range and with multi tubes it is unlikely they would synchronise with each other so like the HF fluorescent there is no need to split lighting across phases.
I do question the use of LED tubes, as today we must use electronic ballasts which in turn means longer tube life and more lumens per watt, it is hard to get an accurate figure as the tube lumen is still quoted using magnet ballast and the electronic ballast make claims as to how much extra light out put and also how much drop in watts consumed which varies, but it would seem with an electronic ballast looking at 90 - 95 lumen per watt. Which is only just under the LED lumen per watt, and the quoted life for both are around the same, however the LED I fitted had a much lower life to fluorescent. So the only gain is when lighting corridors where you need the spread of light but not the lumens so reducing the lumen output will not matter, although there are replacements for 58W fluorescent which are a similar wattage, most are around half the wattage and half the output typical 2400 lumen against 5400 lumen for fluorescent tube with electronic ballast, and with an electronic ballast it only draws around 56 watt. Since a LED tube is over four times the price of a fluorescent it simply does not make sense to use them. OK the electronic ballasts do have a limited life, specially if failed tubes are not changed quickly, but economics wise fluorescent is still king for long tubes.
This is not reflected however for folded or coiled fluorescent tubes, when made into the shape of a bulb the fluorescent was rather poor both life time and lumen output, and the electronic control gear is in the main built into the bulb, so they are expensive, there are some exceptions like the 2D but I have now replaced nearly all my bulbs with LED, which asks the question what do I do with the boxes of unused tungsten bulbs. In the main could not use even if I wanted to, as new fittings are mainly SES and old bulbs were BA22d.