I actually didn't use nether of them since i don't own them.

They are not required at all to reach six paths.

Teams that let you do it without them?

Water main, madara founder, kurenai, chiriku (shark bomb team)

Water main, madara founder, itachi full sb, kiba new year (second shark bomb team).

Hokage minato, iruka, wb asuma, earth main.

Lee full sb, guy, iruka/wb asuma, earth main.

Kurama, kushina habanero, danzo/hokage minato/itachi susano'o, wind main.

Danzo iruka madara founder lightning main.

Orochimaru bond barrier, chiriku, hokage minato, earth main.

Fire main, danzo, madara founder, itachi susano'o.

Danzo, sasuke rs, itachi anbu, mb.

Water main, edo tobirama (move 1), yamato, naruto ramen.

Edo minato edo hashirama kushina normal water/wind main.

But there are more. Those ones are the first that came up to my mind without shisui and naruto six paths.