It's been done for years, and as the NHS says don't rush the mush. Back in the day when it was advised to introduce solids at 3 or 4 months or even earlier all you could do was give purees, as babies that old cannot pick up and put food into their mouths as 6 month old babies can. Back in my grandmother's day it was advised that babies had no solid food until around 9 months, but then babies were breastfed, when formula came in they needed solids as the formulas of the day were not nutritionally enough, and sas they have improved the age at which solids have been introduced has risen to the age when they actually need them.
It's actually much easier than preparing special food for babies, you just use what you are having, only if you're having something not suitable, is that needed [and most mums use the freezer for this] When my son was born someone gave me a recipe book for babies which included steamed brains. Steam them for 2 hours and then puree them, and then most of it would end up on the bib, who has time for that? So I did baby-led weaning by default, and surprise now they're in their 30s they don't need the police calling round, they baby-led potty trained too and apart from boychild missing the loo when peeing no problems in later life. I did baby-led walking too, without worrying that they would crawl forever, or if I didn't make them walk that they'd never do it. You wait with baby-led weaning until your child can sit up with some support, has lost the tongue-thrust reflex, can pick up small bits with finger and thumb and put whatever it is in their mouth.
Baby-led weaning doesn't mean ignoring your child whil she is eating, and obviously you cut grapes. Gill Rapley who gave it the name videoed a child being offered pureed broccoli on a spoon and rejecting it, but later happily eating a stalk of broccoli. It gives a child a chance to look at what he is eating, to smell it, before putting it into his mouth, adults wouldn't like an unknown substance being put into their mouth, no matter how much they might like it, and I know once spat out beer as I picked up the wrong mug so I was expecting apple juice, not that I didnt like beer, but I was expecting apple juice.
Everyone is fussy in their own way with food no matter what a 'good eater' they are, Sometimes it is a cultural thing, lots of things other cultures eat that we don't, as long as people as they grow up eat a nutritious balanced diet that fits with their medical, religious and cultural needs, that's OK. Most people broaden their range of acceptable foods as they grow up and that's OK. Most children go through phases where their choice of food reduces, and actually that's a good thing, if annoying, as it means that they are less likely to go out in the garden and eat things that may hurt them, safer for all to stick to what they know and see adults eating. How many adults will only eat cheese sandwiches? Children do not need vast quantities of food either, their rate of growth slows down as they get older. And a breastfed baby who doesn't eat a lot at a year - how do they grow? Breastmilk, obviously this is still nutritious, they will eat more when they are ready to. NHS recommends continuing with formula until at least a year, milk is always the main part of a baby's diet
Grans may have time for mushing sessions but busy mums often don't, so the fall back is jarred or packet baby food which tends to be bland, and of course all the bits are mushed together so monotonous, take a look at the nutritional values, often less calorific than breastmilk or formula [ so displacing more nutritious food] and expensive. When you go out for a meal too you have to take the jar or pouch along instead of just sharing from your plate
So relax and enjoy not having to do special cooking and purees.