I checked a local English-language website that sells shoes, and I mostly see them refer to "insulation" from rain or mud. See this link as an example: https://www.sorelfootwear.ca/en/p/mens-sorel-explorer-short-...

I think it would work for your purpose and communicate the same thing.

An alternative could be water-resistant shoes (providing light insulation) and water-proof shoes (providing more insulation).

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Note added at 7 hrs (2022-08-17 23:50:47 GMT)
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Zanim wyruszysz na szlak
PORADY DLA POCZĄTKUJĄCYCH BIEGACZY

Warto włożyć buty z lekkim protektorem, a w przypadku biegu zimą lub po deszczach, gdy na szlakach może być sporo błota, wskazany może być wyższy protektor. - https://www.funduszpartnerstwa.pl/wp-content/uploads/2021/02... - page 4

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Another big difference between road-running and trail-running shoes is the outsole. You can get a good look of a trail-running shoe outsole in the picture above. It has a deeper traction pattern and heavier outsole than a road-running shoe outsole (see picture below). Trail-runner outsoles are built to provide aggressive traction so you can better move over rocky terrain, gravel-covered trails, and uneven ground. - https://www.sierra.com/blog/fitness/trail-running-vs-road-ru...

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Trail running shoes

Trail running shoes are designed to be able to run on a rough and rugged terrain such as spartan race terrain where you run through rocks, muds, water, or other obstacles. They are heavier and more durable than road running shoes and have an aggressive and heavier outsole. Therefore, they offer support, protection, and stability on uneven terrain. - https://www.runningshoesguru.com/content/how-to-choose-the-r...

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However, not only is Sportiva coming out with the Skylite in a couple of months, they now have available a very similar shoe–the Skylite’s fell-running brother, the Crosslite–which is the exact same shoe as the Skylite except for with a much, much more aggressive (read: heavier) outsole - http://antonkrupicka.com/blog/la-sportiva-loveliness/

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While the new men’s redmond hiking shoe is a great choice, the outsole is only slightly wider than most other hiking shoes on the market. For best performance, you’ll want to get a wider or heavier outsole but this is a great shoe for the money. - https://maxtrekking.com/mens-redmond-hiking-shoe-wide/

$34.97
Merrell Men's Size8.5 Select Grip Move Treaded Hiking Shoes J2173 Brown Tan
https://www.pinterest.com/pin/82331499623883114/

Shoe Tread Research Gains Traction

https://www.pitt.edu/sites/default/files/article-images/boot...
https://www.pitt.edu/pittwire/features-articles/shoe-tread-r...

White Punk Lace up Oxfords Vegan Leather with Short Block Heel and Chunky Treaded Soles Women Shoes
https://sun-imperial.com/products/white-punk-lace-up-oxfords...


Zara BURGUNDY LEATHER SHOES WITH TREADED SOLES,
https://static.zara.net/photos/2020/V/1/2/p/2411/520/022/2/w...
https://www.modalite.net/us/men/zara/shoes/burgundy-leather-...

Lug soles are a type of outer sole found on heavy-duty and utility shoes such as hiking boots or work boots. They are thick and designed with deep indentations to improve stability and traction.
https://www.sportsnhobbies.org/what-are-lug-soles.htm
a google podpowiada, ze:
Lug sole boots are boots with thick, indented lug soles to help you better tread the slipperiest of situations. While most winter boots compromise one for the other (fashion or functionality), lug sole boots do not. With the lug sole boot, there's enough traction to keep you from slipping and sliding around.

W obecnym kontekscie protektor ma byc lekki, wiec shoes with slightly/lightly lugged soles



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Note added at 5 days (2022-08-22 23:03:35 GMT) Post-grading
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shoes that offer some traction - could be a simpler way to express it