Conrad Leto vs Joshua: who would win?

Conrad Leto favored — Slight edge (~55%)

Conrad Leto · Black Clover · Post-Sealing

Tier
6-B, up to HIGH 6-A
Attack Potency
Country Level+, up to Multi-Continent Level
Speed
Relativistic
Durability
Country Level, up to Multi-Continent Level

Joshua · Fire Emblem · Late/Endgame

Tier
6-B
Attack Potency
Country Level+
Speed
Superhuman, up to Massively Hypersonic
Durability
Country Level+

A heuristic estimate from normalized VS Battles Wiki stats: tier, attack potency, speed and durability.