Rendering continues after Liquid::StackLevelError which can result in a lot of similar errors with recursion

In Shopify, create a page template page.test2.liquid

{% layout none %}
{% assign aacounter = 1 %}
{% include 'aaaaa' %}

Create a snippet aaaaa.liquid

{{ aacounter }} {% assign aacounter = aacounter | plus: 1 %}
({% include 'aaaaa' %})
{% if aacounter < 10000 %}
[{% include 'aaaaa' %}]
{% endif %}
a 

Create a page and set it to the template. Launch the page.

Interestingly, because the snippet was included twice, it bypasses the MAX_DEPTH of 100 and continues the recursion forever. Eventually, Shopify server times out and kills the thread, then gives an error page. In the above example, 10000 would still work and give an output.

But if you set it to 15000 (or remove the check altogether), it will give the error page below:

This happens for both include and render. Related issue: #970

Reproduce the issue with the page.test2.liquid template and recursive aaaaa.liquid snippet, testing both include and render. Start by tracing how a Liquid::StackLevelError is handled during rendering; done means rendering stops after the error instead of continuing recursion until a timeout or repeated errors.