Yes and no. They do sell fewer units than Samsung, but it does not mean they should lose money as a result. e.g., Vizio overtook Samsung in unit sales, but the latter could still make money:
http://www.lcdtv.net/news/samsung-loses-vizio-us-112410
And later Samsung's panel business also ran into difficulty because that industry is being commoditized (Price getting too low !), but their growing cellphone business covered up the slack:
http://www.businessweek.com/news/20...-as-phone-sales-mask-slump-in-lcd-panels.html
The causes for Sony's TV business losses are the expensive Yen, and quickly eroding TV price because it's commoditized.
Sony has no "TV platform income" like Blu-ray to collect tax from cheap TV makers, and not enough LCD panel volume. I think recently, the Japanese government got the industry to form a consolidated (small) panel making company to aggregate the volume. In addition, Sony's "next LCD" R&D didn't produce commercial results (No large OLED panels, banging on Crystal LED next). They can only package stuff from other component makers. Their TV is actually pretty good, but expensive partly because Sony has high cost (Yen and such).