If that is true then here is a list of dragonriders who's connection to their dragon were (or could have been) weaker:
(The order is in when the dragons were claimed, and if that is unknown, the order of the dragons' age when they were claimed. The italics is for the dragons who could have had one unknown former rider or who might have been cradle eggs, the regular is for the ones who claimed after they hatched, and the bold is for the ones who claimed dragons who had at least one confirmed former rider)
Aegon I Targaryen with Balerion (he was hatched before 114 BC and flew with the other five Targaryen dragons who moved from Valyria, so it's unlikely that Aegon was his first rider. Also in HOTD, Balerion’s first rider was Daenys the Dreamer, and while most of what they did in the series doesn't make sense, this is actually plausible)
Visenya Targaryen with Vhagar? (Vhagar hatched in 52 BC, and Visenya was born in 29 BC, and we don’t know when she claimed her. So if we say that Visenya claimed at the earliest possible time (right after birth), Vhagar would have been 23 years at the time, which means that she could have had a former rider)
Rhaenys Targaryen (daughter of Lord Aerion) with Meraxes? (Considering that Meraxes’ skull was larger than Vhagar’s, even though Meraxes died 120 years before her, it’s likely that she was older than her. Although even if we say that Meraxes was hatched at the same time as Vhagar, it still means that Meraxes was at least 26 when Rhaenys was born, so she could have had a former rider)
Aenys I Targaryen with Quicksilver
Rhaena Targaryen (daughter of Aenys I) with Dreamfyre
Maegor I Targaryen with Balerion
Aegon Targaryen (son of Aenys I) with Quicksilver
Aerea Targaryen with Balerion
Aemon Targaryen with Caraxes (his father did place an egg in his cradle, but it doesn't seem like it hatched because he ended up claiming Caraxes when he was 17)
Baelon Targaryen with Vhagar
Alyssa Targaryen with Meleys
Rhaenys Targaryen (daughter of Aemon) with Meleys
Daemon Targaryen with Caraxes
Viserys I Targaryen with Balerion
Book Laenor Velaryon with Seasmoke (in HOTD it’s implied that Seasmoke was hatched, but in the book is says that they were bonded by the time Laenor was 7 which seems to indicate that Seasmoke was claimed)
Laena Velaryon with Vhagar
Book Rhaenyra Targaryen with Syrax (in HOTD it's implied that she was hatched, but in the book she was most likely claimed)
Helaena Targaryen with Dreamfyre
Aegon II Targaryen with Sunfyre
Daeron Targaryen with Tessarion (it sounds like Tessarion was most likely claimed but she could have been hatched)
Aemond Targaryen with Vhagar
Hugh Hammer with Vermithor
Ulf the White with Silverwing
Addam of Hull with Seasmoke
Book Nettles with Sheepstealer
Book Rhaena Targaryen (daughter of Daemon) with Morning? (Technically, Rhaena did hatch her; however, Morning wasn't a cradle egg, and Rhaena was older, so I’m not sure if “born with” fits here. Also in the book, Rhaena had a cradle egg that hatched, but the dragon only lived for a few hours)