No, Eurosport Events are a sports promoting company owned by the Discovery group which also own Eurosport TV. Eurosport events have paid the FIM big money for the 10 year contract so may decide that selling the TV rights to interested parties across Europe, might make them more of a profit than Eurosport showing them pan Europe.
You do not know that !!! Eurosport events have gone out to tender regarding TV contracts for the GP/SON from 2022 onwards. It is by no means certain that Eurosport will show them.
Why can`t people get it in their heads that BSI are still the promoters of the GP`s in 2021 !!!! All contracts run out at the end of that season- ie tracks, TV deals(BT Sport) etc.