What I meant to say is that those ballasts have a 2 terminal reactor and a capacitor all potted in one casing.
Often times, I have seen Japanese reactor ballasts that sometimes have 3 or 4 wires connected to a case. Often times, some of those wires would lead to power factor correction capacitors potted inside the casing and other times, I have seen that some have some wires not connected to anything.
For example, here is a Japanese 200V 60Hz reactor ballast that I found that specifically does say “high power factor” on its casing:
https://buyee.jp/item/jdirectitems/auction/k1148211050?conversionType=jdirectitems_auction_TranslateSearchThis implies that the power factor correction capacitor and the reactor coil are all inside the case. That is why you see 4 wires coming from it.
In principle, the reactor coil is still wired in series with the lamp and the power factor correction capacitor inside the casing is still wired in parallel with the input leads.