I too am suspicous when companies and industries complain they cannot get enough cheap labour. However, there is a balance to be struck. If the UK needed to pay natives at prevailing wages, it might be 15 GBP per hour (or more) to pick strawberries, and then strawberries would probably double in price at the market... and very few people would buy them. When UK was part of the EU, there was freedom of movement, so a lot of seasonal workers came from Eastern Europe to work the fields in the UK. This probably helped to reduce UK food prices.

What bothers me much more: When companies and industries that generate middle class jobs (and above) complain about being unable to find workers. After the GFC ended around 2009, this was a constant complaint in business newspapers for many years (I guess at least five years during the post-GFC recovery). It was so obviously bullshit to even the most casual observer: The offered wages were much too low, so jobs stayed unfilled for months on end. In short, they wanted high skill people to work for low wages.

    > Open borders directly reduces wages.

If this were true, how to do you explain why the UK grew so much faster than other EU nations in the decade before Brexit? Similarly, how do you explain how much worse is the UK economic story after Brexit? It seems exactly the opposite of what you wrote. One thing I will grant you: Open borders suppress wages for low skill workers. That is pretty much undeniable. The people hurt most by EU freedom of movement are low skill natives.