The top one with the male is called, "Doing a dumbell deadlift with terrible form". The bottom one, with the woman, is called "A dumbell deadlift with decent form". Notice that the woman is keeping her lumbar spine in almost a neutral position (though not quite), while the man is letting his lumbar totally flex. You will find the beautiful people on Youtube, such as this hunky dude, who will say that it is beneficial to let your lumbar spine flex. However, anyone who has been coaching for a few decades will tell you to keep your spine in neutral. Here are some names for you too look up: Stuart McGill, Mike Boyle, and Brent Brookbrush. McGill and Boyle were coaching when the guy in this picture was in diapers. Brushbook is younger. McGill has published two hundred research papers and three books. There is a long list of professional athletes who have gone to McGill for their back pain. Point is, any coach with a long track record will tell you that letting your spine flex in a deadlift is a bad idea. So you can take your advise from a guy with an expensive haircut, or from people with experience.
Michel, here is more: Your lumbar spine is most stable when it has a lordotic (or inward) curve. This lordotic curve is built into the bones of your lumbar spine, so it is also referred to as "neutral". A flat back is when you lose your lordotic curve. Unfortunately, our lumbar spine tends to flatten as we age, which might be a bit counterintuitive. If you practice watching older people in the grocery store, you will be able to identify the flatness of the lumbar spine with aging.
"Flexion" refers to a movement, while "lordotic" is a shape, which can be confusing. When you flex your lumbar spine, you decrease the lordotic angle, if you extend your back you increase the lordotic angle. A recent study "Lower Back Injury Prevention and Sensitization of Hip Hinge with Neutral Spine Using Wearable Sensors during Lifting Exercises" found that over half of male weight lifters let their lumbar spine flex too much during deadlifts, so be careful.
I urge you to study anatomy so you know this terminology. Sam Webster makes very approachable and even entertaining anatomy videos on youtube.