TV lines are rather basically how a CRT tv works, a set of deflection coils or magnets 'sweep' beams of electrons from an electron gun across the fluorescent screen in 'lines' and form the picture on the screen. Obviously the more lines you have the higher the resolution. PAL/SECAM TV for instance is 625 lines and NTSC 525 lines so at transmission source the 'scene' is scanned line by line (similar to how a CMOS sensor works) by the picture tube in the camera/telecine, modulated (interlaced to save bandwidth with the effectively higher resolution) and then sent to be received on the TV where the electron gun and deflection coils recreate the lines as light where the screen fluoresces. Obviously this vastly simplified but you get the idea?
Until the introduction of the CCD and CMOS which make digital imaging possible, picture tubes were the only way to electronically record an image and it was how all TV cameras worked, not just the slow scan units on Apollo which had to subsequently be converted to TV standards with considerable loss of quality to be shown worldwide on TV. Cameras like you describe only record to the television standard though so unless you have a special 'high definition' MUSE one like was used for the analogue Japanese HD your limited to standard definition resolution.
Plus you can't really record them directly to a computer as the information is analogue not digital so a capture card with a ADC (analogue to digital converter) chip is needed.
Until the introduction of U-matic and other 'compact' magnetic tapes the only real way to record electronically was with 2" QUAD tapes, the machines were massive as were the tapes so they confined TV cameras to the studio with location work being done on film. I wouldn't knock VHS either - most news stuff and studio scenes after about 1980 when they became available is on VHS, Betacam, U-matic or similar although the professional versions were much higher quality than the consumer ones and recorded to the actual TV standard. Film was usually still used for location footage as it was higher quality.
Want a 'picture tube' camera? Simply pick up a pre 1985 camcorder, before CCD's became commercially viable they were the only way to capture an image electronically.