Your example shows why fulfillment should help determine the business model. Heavy products, installation needs and warranty handling can make local inventory more practical than remote dropshipping.
For a dropshipping candidate, I would assess shipping complexity, defect/return risk, supplier consistency, delivery expectations and contribution margin. Light weight alone is not enough; products with sizing problems or unclear specifications can still generate costly returns.
A hybrid approach can be worth testing: hold stock for proven fast-moving items and use a supplier arrangement for carefully selected long-tail products. Keep stock availability and delivery promises distinct so shoppers are not misled.
For your local model, showing the supported service areas, installation process, warranty responsibility and what happens after a failed delivery may be more valuable than adding another traffic source. I would not claim a personal switch from dropshipping to inventory, but those are the tradeoffs I would use to evaluate it.