In most situations I think this is not necessary, as long as soil is fed some organic matter and is kept open for most of the growing season with plant roots.
For example in France I gardened on ghastly white clay and grew fine crops without any loosening. After five years of not touching the soil at all, crops were better than ever. Soil was mulched with either compost or old hay/straw.
I was advised to use a broad fork by neighbours, because of the dense soil, so I bought one and tried it, but found it an unnecessary extra job and have since lost the fork!
I am unsure whether Fortier has tried not using it, otherwise I don’t think he or anyone can advise it as a necessary job. Maybe if you did not feed soil with organic matter or green manures.
Also I feel that the benefits of any extra aeration are offset by damage to existing soil structure and fungal mycelia.
