What it costs to find out
The honest comparison here is not feature against feature, it is how long it takes to get a number.
With Tiny Funnel the number is $10 a month per active funnel, and the trial runs seven days without a card. With Heap you install the snippet, let it fill up, and then Growth will estimate. That is a reasonable process for a company with a procurement cycle. It is a strange one if you were going to put it on a card this afternoon.
None of that makes Heap expensive. It might be cheap for you. The point is that you cannot know yet, and knowing is the thing a small team is usually shopping for.
The one thing worth knowing before you compare
Autocapture removes the instrumentation, not the labelling. Every click and pageview is captured from the moment the snippet lands, which is the real advantage and we would not argue with it. But a funnel is built from event definitions, and those are still yours to create and maintain. Heap's own onboarding suggests starting with a core set of about 12 to 20.
Recording a funnel here is a different shape of work. You turn the recorder on and walk your own signup the way a customer would, the landing page, the pricing page, the signup form, the welcome screen. That walk is the funnel. Nothing gets named and no taxonomy gets designed, because there is only ever one funnel's worth of it to design.
That trade is the whole product. It is a good trade when the question is always about the same handful of pages, and a bad one the first time you need to ask something you never planned for.
The short version
Heap is the better tool if you cannot predict next month's question.
This is the better tool if you can, and you would like to know the price today.