As a Senator what luggage allowance do I get on a longhaul flight in either First or Business?

I have been trying to work this out for a while since M&M and LH's website say differernt things.

This website suggests that I get one more than the standard allowance (4 in F and 3 in J): https://www.lufthansa.com/us/en/bagg...0cargo%20rates

That is also what the LH luggage calculator suggests.

However, Miles and More suggests that there is no additional luggage allowance in the premium cabins (3 in F and 2 in J) https://www.miles-and-more.com/row/e...or-status.html

I have not required to really worry before since previously I have not required to max out my LH luggage allowance whilst holding status. However, on this trip I am likely going to have to.

Any help appreciated.

Also, does anyone have experience of whether staff in outstations (BUE in this case) are familiar with luggage allowance for elites?