I think there is no need to treat younger stumps.
Heterobasidion seems to require significant volume of wood, roots specifically, for the mycelium to establish and overpower the immune system of the host, let alone start producing fruitbodies. It probably outcompetes other fungi in the conditions when there is enough volume in the roots and the protective ectomycorrhizal fungi are repressed by poor soil conditions. It continues to grow saprophytically and fruit prolifically even when the pine is long dead, until the roots are completely decomposed, but I've only seen fruitbodies on partially decayed stumps that were at least 7 inches wide. Small trees probably don't have enough volume to support the fruiting.
Heterobasidion does produce conidia that probably can persist in the soil but as far as I understand the main concern is the spores from the fruitbodies.
Some soils are just intrinsically bad for some pine species and Heterobasidion species will always be an issue requiring constant attention (borax,
Trichoderma, etc.), or just giving up the idea of growing pines alogether or changing certain practices (how densely the trees are planted, and how much sunlight reaches the ground seems to affect survival drastically). Here, it's a key pathogen of the Scots pine, the most abundant and economically important pine in Eurasia. The Scots pine trhives on sandy low-nitrogen soils, from dry to bogged (peatbogs are also almost exclusively Scots pine), however if/as nitrogen levels rise it's outcompeted by deciduous trees and/or other conifers and
Heterobasidion becomes more common. I rarely observe
Heterobasidion in natural pine stands, but it destroyed several planted pine patches in my neighborhood where two key factors seem to have been neglected (wrong soil and insufficient/untimely thinning and insolation for that soil type).