Eating meat with less visible fat will assist in reducing weight loss

This is generally true. The fat in meat markedly ah its energy (kilojoule) value. Therefore, choosing lean meat is a considerable advantage.

Lean meat contains fat, but it is a different kind of fat. It is not depot fat, but structural fat, being part the membrane of the muscle, fibres. This structural fat can be beneficial to health as it is polyunsaturated with both the 'omega-3' and 'omega-6' kinds of essential fatty acids (see WHAT WE KNOW ABOUT CHOLESTEROL).

MEAT
FAT

g / 100 g
KILOJOULES FROM FAT
kJ / 100 g
TOTAL KILOJOULES
kJ / 100 g

Salami
Lamb chops
(cooked with visible fat)
Rabbit
40
18

2
1500
680

74
1900
1200

400