@ what the Buddha taught
Saṅkappa is often translated as thought.
We got thoughts all over the path... it seems so vague.
What we can read is that there are three right ones nekkhammasaṅkappo, abyāpādasaṅkappo, avihiṃsāsaṅkappo and three wrong ones kāmasaṅkappo, byāpādasaṅkappo, vihiṃsāsaṅkappo.
Nekkhamma has to do with putting away lust (kāma) thus abstinence, abyāpāda is 'without anger' and avihiṃsā is 'without harm'. The three wrong ones are the ones 'with lust', 'with anger' and 'with harm'. They correspond with greed, hatred and delusion. The link with greed and hate might be more clear but for the last one it shouldn't be hard to see that if someone doesn't know what he or she is doing, is deluded about that, it will cause harm; thus harmful.
While we can have thoughts about abstinence (nekkhammavitakko), thoughts without anger (abyāpādavitakko) and thoughts without harm (avihiṃsāvitakko), it is a bit different from how to actually approach things, carry yourself, position yourself as with abstinence, without anger, without harm. And this to me is what saṅkappa is, attitude, which does connect:
With right view, right attitude.
Saṅkappa attitude.