Magento – How to remove Category name on list page? have pic

If we look at this module-catalog\view\frontend\templates\product\list.phtml around line 80 There is function $_product->isSaleable() which then again call to isSalable() function of Magento\Catalog\Model\Product.

There are two events in it catalog_product_is_salable_before and catalog_product_is_salable_after. Depending on your need you can modify it.

I used catalog_product_is_salable_after event to hide Add to Cart button

namespace Namespace\Module\Observer\Frontend;

use Magento\Framework\Event\Observer;
use Magento\Framework\Event\ObserverInterface;

class classname implements ObserverInterface
{
    public $request;

    public function __construct(
        \Magento\Framework\App\Request\Http $request
    ) {
        $this->request = $request;
    }

    public function execute(Observer $observer)
    {
        if ($this->request->getFullActionName() == 'catalog_category_view')
        {

            $product = $observer->getEvent()->getProduct();
            $saleble = $observer->getEvent()->getSalable();

            if($product->getTypeId() == 'customProductType')
            {
                $saleble->setIsSalable(false);
                $salable = $product->getStatus() == \Magento\Catalog\Model\Product\Attribute\Source\Status::STATUS_ENABLED;
                if ($salable && $product->hasData('is_salable')) {
                    $salable = $product->getData('is_salable');
                }
                $product->setIsSaleable($salable);                        
            }
        }
        return $this;
    }
}

Though this will add In Stock or Out of Stock in place of Add to Cart.

You have to override core file into your theme, Category layered navigation comes form core file,

vendor/magento/module-layered-navigation/view/frontend/templates/layer/view.phtml

You have to get files from core and keep in your theme,

app/design/frontend/{Vendor}}/{themename}}/Magento_LayeredNavigation/templates/layer/view.phtml

Now you can set condition for this,

<?php  if($filter->getName() != __('Category')) { } ?>

in code.

<?php

/**
 * Category layered navigation
 *
 * @var $block \Magento\LayeredNavigation\Block\Navigation
 */
?>
<?php if ($block->canShowBlock()): ?>
    <div class="block filter">
        <div class="block-title filter-title">
            <strong><?php /* @escapeNotVerified */ echo __('Shop By') ?></strong>
        </div>

        <div class="block-content filter-content">
            <?php echo $block->getChildHtml('state') ?>

            <?php if ($block->getLayer()->getState()->getFilters()): ?>
                <div class="block-actions filter-actions">
                    <a href="<?php /* @escapeNotVerified */ echo $block->getClearUrl() ?>" class="action clear filter-clear"><span><?php /* @escapeNotVerified */ echo __('Clear All') ?></span></a>
                </div>
            <?php endif; ?>
            <?php $wrapOptions = false; ?>
            <?php foreach ($block->getFilters() as $filter): ?>
                <?php if (!$wrapOptions): ?>
                    <strong role="heading" aria-level="2" class="block-subtitle filter-subtitle"><?php /* @escapeNotVerified */ echo __('Shopping Options') ?></strong>
                    <dl class="filter-options" id="narrow-by-list">
                <?php $wrapOptions = true; endif; ?>
                <?php  if($filter->getName() != __('Category')) { ?>
                    <?php if ($filter->getItemsCount()): ?>
                        <dt role="heading" aria-level="3" class="filter-options-title"><?php echo $block->escapeHtml(__($filter->getName())) ?></dt>
                        <dd class="filter-options-content"><?php /* @escapeNotVerified */ echo $block->getChildBlock('renderer')->render($filter); ?></dd>
                    <?php endif; ?>
                    <?php } ?>
            <?php endforeach; ?>
            <?php if ($wrapOptions): ?>
                </dl>
            <?php endif; ?>
        </div>
    </div>
<?php endif; ?>