Reika's strong feelings for Gouda Tsuyoshi started after their altercation during the events of Downtown Nekketsu Monogatari 2 (the novel, which is actually texts from the planned sequel to Downtown Nekketsu Monogatari EX as DNM 2, 3 and EX are a part of the DNMex Trilogy (三部作) and this trilogy is Sekimoto's revised version of the OG the Case of Yamada). This is also mentioned in her Miracle Kids! bio written by Sekimoto on the Miracle Kids! News Letter Back Number April.
Apart from this major interaction, there are no major Main Continuity interactions during both the ArcSys era and the Technos era.
Much like Hasebe, Reika rarely gets to see people outside of the Yumemi Town area (unless it's massive situations like the Case of Yamada or events like the Nekketsu Baseball Tournament or Nekketsu Koushinkyoku- Great Athletic Meet in Yumemi Town). In fact, this is pretty common with most of the Reiho students.
IDK where the ENG version of Koushinkyoku AS's bio got the whole "love affair" from maybe that's just an awkward translation.
Sorry if this is a little much~ >_<