No they don't , almost half a century after the creation of the most influential software technology , Smalltalk. Development tools still largely ignore designers mainly because designers try to stay as far away from coders as possible and coders as far away they can from designers.
These are two cultures that are founded on polar opposite ideals and principles.
A browser, in particular, is from a designer perspective nothing more than an abomination and is laughable to compare web apps and web technologies with specialized designers tools like Photoshop, Illustrator, Blender, Zbrush, Maya, 3DS Max etc. with the ugliness of Javascript , CSS, HTML and XML and is no coincidence that those technologies have so tiny presence on the web. Even WebGL which supposed to bring design and designers to web browsers is pretty much an abandonware.
For now, we can only compromise with modern IDEs that are somewhat designer-friendly like Pharo, Delphi, Squeak etc. and maybe we designers wait for another half century until the so-called "IDEs" catch one and another century for web technologies to move to HTML12 which may or may not be at last designer-friendly.
Especially when we take into account the blazing fast evolution of designer tools (which drive also the hardware evolution mostly through games) and the glacial pace of the evolution of software development tools stuck to the curse of backward compatibility, those two worlds continue to move apart with an accelerating rate.
In the meantime, the gap (or more likely the abyss) between those two cultures will remain. Designers avoiding coding like the plague, coder being mesmerized by their "readable code" completely oblivious to what makes a design good, kneeling before the glory of the holey grail know also as "not reinventing the wheel" or "not fixing what is not broken".
It is sad that 30 years ago designers and coders were so close together as communities, the closest they ever been was during the 80s with the introduction of Amiga 500 which gave birth to some of the most popular design tools but those days are long past.
It's funny because I joined a "coders and designers" facebook group out of curiosity and after 2 years the only design related talk have been a mockery about designers and a couple of mention of design tools from the rare breed of game developers that tend of frequent the group. Can't say I am surprised.
But hey if coders want to continue to believe that coding is an art and that design is an essential part of software development, who am I to judge. I am also delusional at times. None is perfect.